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Associative and Non-Associative Algebras and Applications

3rd MAMAA, Chefchaouen, Morocco, April 12-14, 2018

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Mercedes Siles Molina

    1. Departamento Álgebra, Geometría y Topología, Universidad de Málaga, Málaga, Spain

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  2. Laiachi El Kaoutit

    1. Department of Algebra, University of Granada, Ceuta, Spain

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  3. Mohamed Louzari

    1. Department of Mathematics, Abdelmalek Essaâdi University, Tetouan, Morocco

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  4. L'Moufadal Ben Yakoub

    1. Department of Mathematics, Abdelmalek Essaâdi University, Tetouan, Morocco

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  5. Mohamed Benslimane

    1. Department of Mathematics, Abdelmalek Essaâdi University, Tetouan, Morocco

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  • Covers myriad topics in algebraic, analytic, homological and categorical methods, and history of mathematics
  • Showcases the fruitful mathematical collaboration between south European and north African countries
  • Offers extensive material for young researchers searching for new areas of study and cooperation in algebra and mathematical analysis

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 311)

Included in the following conference series:

Conference proceedings info: MAMAA 2018.

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Table of contents (18 papers)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Algebraic and Analytic Methods in Associative and Non-associative Structures. Applications

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Isomorphisms of Four Dimensional Perfect Non-simple Evolution Algebras

      • Antonio Behn, Yolanda Cabrera Casado, Mercedes Siles Molina
      Pages 3-21

    3. Power-Associative Evolution Algebras

      • Moussa Ouattara, Souleymane Savadogo
      Pages 23-49

    4. A Survey on Isometries Between Lipschitz Spaces

      • M. G. Cabrera-Padilla, A. Jiménez-Vargas, Moisés Villegas-Vallecillos
      Pages 51-88

    5. The Principal Eigenvalue for a Class of Singular Quasilinear Elliptic Operators and Applications

      • José Carmona, Salvador López-Martínez, Pedro J. Martínez-Aparicio
      Pages 89-101

    6. Non-commutative Poisson Algebras Admitting a Multiplicative Basis

      • Antonio J. Calderón Martín, Boubacar Dieme, Francisco J. Navarro Izquierdo
      Pages 103-112

    7. Multiplication Algebras: Algebraic and Analytic Aspects

      • Miguel Cabrera García, Ángel Rodríguez Palacios
      Pages 113-138

    8. Generalized Drazin Inverse and Commuting Riesz Perturbations

      • Mourad Oudghiri, Khalid Souilah
      Pages 139-145

    9. Generalized Rigid Modules and Their Polynomial Extensions

      • Mohamed Louzari, Armando Reyes
      Pages 147-158

    10. n-Ary k-Actions Between Sets and Their Applications

      • Antonio J. Calderón Martín, Babacar Gaye, Francisco J. Navarro Izquierdo
      Pages 159-178

    11. Primary Group Rings

      • Mohammed El Badry, Mostafa Alaoui Abdallaoui, Abdelfattah Haily
      Pages 179-181

    12. Semi-ring Based Gröbner–Shirshov Bases over a Noetherian Valuation Ring

      • Yatma Diop, Laila Mesmoudi, Djiby Sow
      Pages 183-198

    13. The 4-Rank of the Class Group of Some Real Pure Quartic Number Fields

      • Mbarek Haynou, Mohammed Taous
      Pages 199-211

  3. Homological and Categorical Methods in Algebra

    1. Front Matter

      Pages 213-213
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    2. Frobenius Monoidal Algebras and Related Topics

      • Daniel Bulacu, Blas Torrecillas
      Pages 215-252

    3. The Functor \(S^{-1}_C()\) and Its Relationship with Homological Functors \(T or_n\) and \(\overline{EXT}^n \)

      • Bassirou Dembele, Mohamed Ben Faraj ben Maaouia, Mamadou Sanghare
      Pages 253-271

    4. BOCSES over Small Linear Categories and Corings

      • Laiachi El Kaoutit
      Pages 273-286

    5. Quadratic Color Hom-Lie Algebras

      • Faouzi Ammar, Imen Ayadi, Sami Mabrouk, Abdenacer Makhlouf
      Pages 287-312

    6. The Extension Property in the Category of Direct Sum of Cyclic Torsion-Free Modules over a BFD

      • Seddik Abdelalim, Abdelhak Chaichaa, Mostafa El garn
      Pages 313-323
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Other volumes

  1. Associative and Non-Associative Algebras and Applications

Keywords

About this book

This book gathers together selected contributions presented at the 3rd Moroccan Andalusian Meeting on Algebras and their Applications, held in Chefchaouen, Morocco, April 12-14, 2018, and which reflects the mathematical collaboration between south European and north African countries, mainly France, Spain, Morocco, Tunisia and Senegal. The book is divided in three parts and features contributions from the following fields: algebraic and analytic methods in associative and non-associative structures; homological and categorical methods in algebra; and history of mathematics. Covering topics such as rings and algebras, representation theory, number theory, operator algebras, category theory, group theory and information theory, it opens up new avenues of study for graduate students and young researchers. The findings presented also appeal to anyone interested in the fields of algebra and mathematical analysis.


Editors and Affiliations

  • Departamento Álgebra, Geometría y Topología, Universidad de Málaga, Málaga, Spain

    Mercedes Siles Molina

  • Department of Algebra, University of Granada, Ceuta, Spain

    Laiachi El Kaoutit

  • Department of Mathematics, Abdelmalek Essaâdi University, Tetouan, Morocco

    Mohamed Louzari, L'Moufadal Ben Yakoub, Mohamed Benslimane

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